On the equivalence of Prony and Lanczos methods for Euclidean correlation functions.
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| Title: | On the equivalence of Prony and Lanczos methods for Euclidean correlation functions. |
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| Authors: | Ostmeyer, J.1 (AUTHOR), Sen, A.1 (AUTHOR), Urbach, C.1 (AUTHOR) urbach@hiskp.uni-bonn.de |
| Source: | European Physical Journal A -- Hadrons & Nuclei. Feb2025, Vol. 61 Issue 2, p1-10. 10p. |
| Subjects: | Lattice field theory, Lanczos method, Prony analysis, Statistical correlation, Correlators |
| Abstract: | We investigate the oblique Lanczos method recently put forward in Ref. [1] for analysing Euclidean correlators in lattice field theories and show that it is analytically equivalent to the well known Prony Generalised Eigenvalue Method (PGEVM). Moreover, we discuss that the signal-to-noise problem is not alleviated by either of these two methods. Still, both methods show clear advantages when compared to the standard effective mass approach. [ABSTRACT FROM AUTHOR] |
| Copyright of European Physical Journal A -- Hadrons & Nuclei is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Abstract: | We investigate the oblique Lanczos method recently put forward in Ref. [1] for analysing Euclidean correlators in lattice field theories and show that it is analytically equivalent to the well known Prony Generalised Eigenvalue Method (PGEVM). Moreover, we discuss that the signal-to-noise problem is not alleviated by either of these two methods. Still, both methods show clear advantages when compared to the standard effective mass approach. [ABSTRACT FROM AUTHOR] |
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| ISSN: | 14346001 |
| DOI: | 10.1140/epja/s10050-025-01495-8 |
